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Finding the Third Proportional to 576,155 and 829,915

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Solution

The third proportional to 576,155 and 829,915 is: 1,195,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,155 : 829,915 = 829,915 : x
  2. Step 2: Convert to fraction form
    576,155/829,915 = 829,915/x
  3. Step 3: Cross multiply
    576,155x = 829,915 × 829,915
  4. Step 4: Simplify right side
    576,155x = 688,758,907,225
  5. Step 5: Solve for x
    x = 688,758,907,225/576,155
  6. Step 6: Final answer
    x = 1,195,440.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.